An experiment is conducted for which the sample space is S = (S₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment? Outcomes S₁ $2 $3 S4 $5 1 1 1 1 1 3 6 8 10 15 Probabilities Is the probability assignment possible for this experiment? O A. No, because none of the rules for an acceptable probability assignment are satisfied. OB. No, because the sum of the probabilities of all possible outcomes is not 1. OC. No, because the probabilities are given as fractions instead of decimals. O D.Yes, because both rules for an acceptable probability assignment are satisfied. OE. No, because not all of the probabilities are between 0 and 1, inclusive.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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An experiment is conducted for which the sample space is S =
Outcomes
Probabilities
S₁ $2 S3 S4 S5
1 1
1 1
6 8
10 15
1/3
Is the probability assignment possible for this experiment?
200
= {S₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment?
O A. No, because none of the rules for an acceptable probability assignment are satisfied.
OB. No, because the sum of the probabilities of all possible outcomes is not 1.
OC. No, because the probabilities are given as fractions instead of decimals.
D. Yes, because both rules for an acceptable probability assignment are satisfied.
E. No, because not all of the probabilities are between 0 and 1, inclusive.
C.
Transcribed Image Text:An experiment is conducted for which the sample space is S = Outcomes Probabilities S₁ $2 S3 S4 S5 1 1 1 1 6 8 10 15 1/3 Is the probability assignment possible for this experiment? 200 = {S₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment? O A. No, because none of the rules for an acceptable probability assignment are satisfied. OB. No, because the sum of the probabilities of all possible outcomes is not 1. OC. No, because the probabilities are given as fractions instead of decimals. D. Yes, because both rules for an acceptable probability assignment are satisfied. E. No, because not all of the probabilities are between 0 and 1, inclusive. C.
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